Question

question
factor the trinomial:
$5x^2 + 16x + 12$

Explanation:

Step1: Multiply leading & constant terms

$5 \times 12 = 60$

Step2: Find factors of 60 summing to 16

Factors: $10$ and $6$ (since $10+6=16$)

Step3: Split middle term

$5x^2 + 10x + 6x + 12$

Step4: Factor by grouping

$5x(x+2) + 6(x+2)$

Step5: Factor out common binomial

$(5x+6)(x+2)$

Answer:

$(5x+6)(x+2)$